Energy function for an interline power-flow controller

An IPFC may be applied for steady-state power-flow and voltage control as well as for mastering dynamic phenomena like transient-stability margin enhancement, oscillation damping, etc. For these tasks the Lyapunov energy-function approach is frequently used as a convenient way to control or analyze the electric-power system (EPS). The basis for the implementation of such an approach is to know the energy function of the EPS. Currently, this is not possible for the EPSs that include IPFCs, because the already-known energy functions that proved to be suitable for an EPS do not include such a device. Therefore, in this paper, energy functions that consider the IPFC's action in the form of a supplement to the already-known structure-preserving energy functions were constructed. They are based on a structure-preserving frame and can be applied for an arbitrary number of IPFCs, which may consist of an arbitrary number of series branches. The developed energy functions were applied for a transient-stability assessment using the Lyapunov direct method, and they proved to be adequate.